Answer:
The annual profits will be 2187.5
Step-by-step explanation:
p(x) = 65x - 0.3x^2
I am guessing that the 2 was supposed to be a square.
Simply plug in the number of pies sold:
p(175) = 65(175) - 0.3(175)^2 = 11375 - 0.3*30625 = 11375 - 9187.5 = 2187.5
Unit test, Part 2: Measurement of Two-Dimensional Figures Please help!!!
Answer:
Step-by-step explanation:
1. Area of the composite figure = Area of the sector + Area of rectangle
Area of sector = (θ/ 360) x [tex]\pi[/tex][tex]r^{2}[/tex]
From the figure,
θ = 30, and r = 65
Area of sector = [tex]\frac{30}{360}[/tex] x [tex]\frac{22}{7}[/tex] x 65 x 65
= 1 1065.55[tex]m^{2}[/tex]
Area of rectangle = length x width
= 65 x 4
= 260 [tex]m^{2}[/tex]
Area of the composite figure = 1 1065.55 + 260
= 11325.55
Area of the composite figure is 11326 [tex]m^{2}[/tex].
2.
Circle sector is a section of a disk encompassed by two radii and an arc. The area of the composite figure is 29.9194 m².
What is a sector of a circle?A circular sector, also known as a circle sector or a disk sector, is a section of a disk encompassed by two radii and an arc, with the minor sector being smaller and the main sector being bigger.
[tex]\text{The area of the sector of the circle }= \pi r^2 \times \dfrac{\theta}{360^o}[/tex]
The area of the composite figure is the sum of the area of the sector of the circle and the area of the rectangle.
The area of the sector of the circle whose angle at the centre of the circle is 30°, while the radius of the circle is the length of the reactangle which is 5.5 cm.
[tex]\text{The area of the sector of the circle }= \pi r^2 \times \dfrac{\theta}{360^o}[/tex]
[tex]= \pi (5.5)^2 \times \dfrac{30}{360^o}\\\\=7.9194\rm\ m^2[/tex]
Thus, the area of the sector of the circle is 7.9194 m².
The area of the reactangle whose length is 5.5 inches while the width is 4 m.
[tex]\rm \text{Area of the rectangle} = Length \times width[/tex]
[tex]= 5.5 \times 4\\\\= 22\rm\ m^2[/tex]
Thus, the area of the rectangle is 22 m².
Now, the total area of the composite figure can be written as,
Area of the composite figure = Area of the sector of circle+Area of rectangle
Area of the composite figure = 7.9194 +22 = 29.9194 m²
Hence, the area of the composite figure is 29.9194 m².
Learn more about Sector of Circle:
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solve for x ( angle solving )
Answer:
24°
Step-by-step explanation:
x + 9° + 147° = 180° ( being linear pair)
x = 180° - 156°
x = 24°
Write an equation in point slope form of a line passing through 3,6 having a slope of 1/3 ASAP please
Step-by-step explanation:
hbbuijiiiiiiidontttttknowwwwsorryyyyyyyyyyyy
simplify: 3 1/8 + 1 2/3 ÷ 2/3 × 5/12
simplify: 1 1/2 - ( 8 1/3 ÷2 1/2) ÷
1 1/5 of ( 1 1/4 ÷ 1 2/3)
simplify: 1 1/4 + 2 1/2 - 1 3/4
The value of the expression [tex]3\frac{1}{8}[/tex] + [tex]1\frac{2}{3}[/tex] ÷ 2/3 × 5/12 is 17.25 and value of [tex]1\frac{1}{4} +2\frac{1}{2} -1\frac{3}{4}[/tex] is 2.
What is Fraction?A fraction represents a part of a whole.
The given expression is [tex]3\frac{1}{8}[/tex] + [tex]1\frac{2}{3}[/tex] ÷ 2/3 × 5/12
( [tex]3\frac{1}{8}[/tex] + [tex]1\frac{2}{3}[/tex])/2/3× 5/12
(25/8+5/3)/(10/36)
(75+40/24)/(5/18)
115/24×18/5
2070/120
17.25
Now [tex]1\frac{1}{4} +2\frac{1}{2} -1\frac{3}{4}[/tex]
Convert mixed fraction to improper fraction
5/4+5/2-7/4
LCM of 4, 2 is 4
(5+10-7)/4
8/4
We get 2
Hence, the value of the expression [tex]3\frac{1}{8}[/tex] + [tex]1\frac{2}{3}[/tex] ÷ 2/3 × 5/12 is 17.25 and value of [tex]1\frac{1}{4} +2\frac{1}{2} -1\frac{3}{4}[/tex] is 2.
To learn more on Fractions click:
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#SPJ2
PLEESSSE HELP ASAP !!!! WILLL GET BRAINLIEST
Answer:
B
Step-by-step explanation:
B/ y - 4 = 4/3(x - 6)
solve the equation 3(x+2)=5(x-2)
Answer:
3( x + 2 ). = 5( x - 2)
3x + 6 = 5x - 10
-2x = - 16
minus,minus cancel
x = 16/2
x = 8
Answer:
8
Step-by-step explanation:
3x+6=5x-10
6=2x-10
2x=16
x=8
Breanna currently has a 75 on her homework assignments. Her teacher will
give her 5 additional points for every extra credit assignment she
completes
what is the answer to -6p - 7 = -31
Answer:
p = 4
Step-by-step explanation:
Answer:
p=4
Step-by-step explanation:
combine like terms
-6p=-24
divide
p=4
What percent of 9,000 is 36?
Answer:
your answer is 0.4
Step-by-step explanation:
you can look for persentage calculators in
Answer:
Let the percentage be x%
[tex]x\% \: of \: 9000 = 36 \\ \frac{x}{100} \times 9000 = 36 \\ 90x = 36 \\ x = \frac{36}{90} \\ \boxed{x =0. 4}[/tex]
0.4% of 9000 is 36.Lisa and Mary buy apples and bananas at the store Lisa buys 4 pounds of apples and 3 pounds of bananas and spend $17. Mary buys 5 pounds of apples in 2 pounds of bananas and spend $16. How much does one pound of apples and one pound of bananas cost
Answer:
the bananas cost 3.00 apples cost 5.00
Two diagonals divide a square into 4 congruent triangles. The base of each triangle is 8 inches and the height is 5 inches. What is the area of the square?
80
Step-by-step explanation:
1. Find an area of 1 triangle:
5x8x1/2=20
2. Multiple by 4
20x4=80
Whats the slope form?
Answer:
Step-by-step explanation:
slope form = 3/4
Answer:
slope form=3/4
Step-by-step explanation:
slope form is 3/4
Jay has two boards. The length of the first board is 1 and 2-thirds feet, and the length of the second board is 5-eighths foot. Jay estimates that the combined length of the boards must be less than 2 feet.
In a school with 500 students,90% are female. Select all expressions that can be used to find the total number of female students. A. 90/100 x 500 B.90/10 x 500 C.0.90 x 500
Answer:
A)90/100 x 500
C) C.0.90 x 500
Step-by-step explanation:
You can't with B since 90/10 doesn't account for percentage
Brainliest pls
5x
If the measurement of a central angle is
find the length of its intercepted arc in a circle with a radius of 15 inches.
a 33.4 inches
b. 35.6 inches
C. 37.5 inches
d. 39.3 inches
This question is incomplete
Complete Question
If the measurement of a central angle is 5pi/6, find the length of its intercepted arc in a circle with a radius of 15 inches
a 33.4 inches
b. 35.6 inches
C. 37.5 inches
d. 39.3 inches
Answer:
d. 39.3 inches
Step-by-step explanation:
We are to find the Arc length of the circle
To solve the above question, the formula is given as:
Arc length = Central angle × radius
From the above Question, we are given:
Central angle = 5pi/6 = 5π/6
Radius = 15 inches
Hence,
Arc length = 5π/6 × 15 inches
Arc length = 235.61944901923448/ 6
Arc length = 39.26990817 inches
Approximately , the Arc length
= 39.3 inches.
Therefore, Option d is the correct answer.
If the purchase price for a house is $242,934, what is the monthly payment if you put 12% down for a 30-year loan with a fixed rate of 6.7%
Answer:
I think it is $585.95.
Step-by-step explanation:
Solve the inequality 2x + 9 > 19 - 8x
x> 1
i hope it helps you ❤️❤️❤️
Question 4 (Essay Worth 10 points)
(06.05 MC)
Iris is a botanist who works for a garden that many tourists visit. The function f(s) = 2s + 25 represents the number of flowers that bloomed, where s is the number of seeds she planted. The function s(w) = 25w represents the number of seeds she plants per week, where w represents the number of weeks.
Part A: Write a composite function that represents how many flowers Iris can expect to bloom over a certain number of weeks. (4 points)
Part B: What are the units of measurement for the composite function in Part A? (2 points)
Part C: Evaluate the composite function in Part A for 30 weeks. (4 points)
Answer:
(a) f (w)=50w+25
b number of flowers for a given number of weeks
(c) f (30)=1525
Step-by-step explanation: hope this helps :)
A function is said to be a composite function when a function is written in another function. The composite function that represents the number of flowers is [tex]f(w) = 50w + 25[/tex] and the number of flowers for 30 weeks is 1525.
Given that:
[tex]f(s) = 2s + 25[/tex]
[tex]s(w) = 25w[/tex]
The number of flowers to bloom over w weeks is calculated using the following composite function: f(w)
[tex]f(s) = 2s + 25[/tex]
Replace s with s(w)
[tex]f(s(w)) = 2(s(w)) + 25[/tex]
Substitute [tex]s(w) = 25w[/tex]
[tex]f(s(w)) = 2(25w) + 25[/tex]
[tex]f(s(w)) = 50w + 25[/tex]
Hence:
[tex]f(w) = 50w + 25[/tex]
The units of the measurement of f(w) is flowers
The number of flower for 30 weeks means:
[tex]w = 30[/tex]
So, we have:
[tex]f(30) = 50 \times 30 + 25[/tex]
[tex]f(30) = 1525[/tex]
Hence, the number of flowers for 30 weeks is 1525
Read more about composite functions at:
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Eight teams of high school students helped clean up trash
in the community. Afterwards, they shared 23 pizzas equally.
How many pizzas did each team get?
Put a solid number quickkkkkkkk. ITS DUE IN AN HOURRRRRRRRRRRRR
3(21+n)=12 Please help
Answer:n=-17
Step-by-step explanation:
(07.01) Which of the values for x and y make the equation 3x + 4y + 6 = 26 true? (4 points) x = 4, y = 2 x = 5, y = 6 x = 4, y = 3 x = 3, y = 5
Answer:
x = 4, and y = 2
I took the test and got this right!!
Step-by-step explanation:
3(4) + 4(2) + 6 =
12 + 8 + 6 = 26
Please mark brainliest!
Answer:
Did this so the other guy can get brainliest
Step-by-step explanation:
your welcome
A park ranger wants to know the mean number of nights students in your school plan to camp next summer. The park ranger randomly surveys
10 students from each class. The results are shown.
answer overall
3.3
Step-by-step explanation: sample a is 2.9 sample b is 3.5 sample c is 3.2 sample d is 3.6
overall its 3.3
I don't know about the range so sorry
Find the area of the irregular figure. I don’t know this I need help.
Answer:
11 in.²
Step-by-step explanation:
you can divide the shape into 2 rectangles and then you solve for the 2 rectangles and then you add them up.
Ty raised $84 to support the animal shelter, which is 30% of his fundraising goal. What is Ty's fundraising goal?
I have a D in math. May someone please help me with my assignment so I can bring my grade up? Thank you so much! 20 points by the way!!!
Answer:
$1125
Step-by-step explanation:
you can see on the y graph that the highest point it reaches is more than 1100 dollars so it is $1125.
A group of 9 friends go out to dessert and spend $72.45 including tax.
which costs $8 or a fruit salad which costs $5. The tax on the bill was
ice cream sundae and how many ordered a fruit salad?
3. Each year Mark deposited a certain amount of money in an
account which pays an annual intrest rate of r so that at the end of
the each year the balance in the account is mulitpled by growth
factor of x=1 + r. $800 is deposited at the start of the first year, an
additonal $500 is deposited at the start of the next year, and $300
at the start of the following year.
a. Write an expression for the value of the account at the end of
three years in terms of the growh factor x. (2 pt)
b. Dale also deposited money into his own account. His expression
is represented by
1000x5 + 800x4 + 200x2 + 500x + 700
In the past 5 years, Dale made a deposit every year except for
which year? (1 pt)
Answer:
3
Step-by-step explanation:
Which of the following makes the equation true?
b/4 = 16
F- 64
G- 4
H- 16
J- 8
The answer is H-16! Hope this helps! :-)
Answer:
F:64
Step-by-step explanation:
64 divided by 4 is 16.
Which property is shown here: 0 + 32 = 32
Answer:
Zero Property of Addition
Step-by-step explanation:
Click the heart button, will you?
Answer:
Additive Identity Property
Which ratio represents the cotangent of angle B in the right triangle below?
A. 5/3
B. 3/5
C. 3/4
D. 4/3
Answer:
C. 3/4
Step-by-step explanation:
Using the SOH CAH TOA identity;
tan theta = opposite/adjacent
From the diagram
Opposite = x
Adjacent = 12
tan <B = x/12
Since cot <B = 1/tan <B
cot <B = 12/x
Get x using pythagoras theorem
x² = 20²-12²
x² = 400 -144
x² = 256
x = 16
Hence cot <B = 12/16
cot <B =3/4